Aptitude - Numbers
Exercise : Numbers - General Questions
- Numbers - Formulas
- Numbers - General Questions
36.
How many 3 digit numbers are divisible by 6 in all ?
Answer: Option
Explanation:
Required numbers are 102, 108, 114, ... , 996
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of terms be n. Then,
a + (n - 1)d = 996
102 + (n - 1) x 6 = 996
6 x (n - 1) = 894
(n - 1) = 149
n = 150.
37.
A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?
Answer: Option
Explanation:
4 a 3 | 9 8 4 } ==> a + 8 = b ==> b - a = 8 13 b 7 |
Also, 13 b7 is divisible by 11 (7 + 3) - (b + 1) = (9 - b)
(9 - b) = 0
b = 9
(b = 9 and a = 1)
(a + b) = 10.
38.
8597 - ? = 7429 - 4358
Answer: Option
Explanation:
7429 Let 8597 - x = 3071 -4358 Then, x = 8597 - 3071 ---- = 5526 3071 ----
39.
The smallest prime number is:
Answer: Option
Explanation:
The smallest prime number is 2.
40.
(12345679 x 72) = ?
Answer: Option
Explanation:
12345679 x 72 | = 12345679 x (70 +2) |
= 12345679 x 70 + 12345679 x 2 | |
= 864197530 + 24691358 | |
= 888888888 |
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